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Finding the Fourth Proportional to 3,744.95, 5,168.16 and 2,172.96

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Solution

The fourth proportional to 3,744.95, 5,168.16 and 2,172.96 is: 2,998.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.95 : 5,168.16 = 2,172.96 : x
  2. Step 2: Convert to fraction form
    3,744.95/5,168.16 = 2,172.96/x
  3. Step 3: Cross multiply
    3,744.95x = 5,168.16 × 2,172.96
  4. Step 4: Simplify right side
    3,744.95x = 11,230,204.95
  5. Step 5: Solve for x
    x = 11,230,204.95/3,744.95
  6. Step 6: Final answer
    x = 2,998.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.